On the Fourier Transform Related to the Diamond Klein - Gordon Kernel

Authors

  • Sudprathai Bupasiri Department of mathematics, Sakon Nakhon Rajabhat University

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i4.4101

Keywords:

Wave equation, Laplace operator, Fourier Transform

Abstract

In this article, we study the fundamental solution of the operator $$\left((\diamond+m^2)\left(\frac{\triangle^2+\boxdot^2}{2}\right)\right)^{k}$$, iterated $k$-times and is defined by (\ref{odot}),where $m$ is a nonnegative real number, and $k$ is a nonnegative integer. After that, we study the Fourier transform of the operator $ \left((\diamond+m^2)\left(\frac{\triangle^2+\boxdot^2}{2}\right)\right)^{k}\delta$.

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Published

2021-11-10

Issue

Vol. 14 No. 4: (October 2021)

Section

Nonlinear Analysis

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How to Cite

On the Fourier Transform Related to the Diamond Klein - Gordon Kernel. (2021). European Journal of Pure and Applied Mathematics, 14(4), 1306-1323. https://doi.org/10.29020/nybg.ejpam.v14i4.4101